Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of...

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Autori principali: Fuchs, Martin, 1957-...., mathématicien, Seregin, Gregory, 1950- (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 1749
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Edition sous un autre format:• Variational methods for problems from plasticity theory and for generalized Newtonian fluids, Martin Fuchs, Gregory Seregin, 2000, Berlin, Springer, 1 vol. (VI-269 p.), Lecture notes in mathematics, 3-540-41397-9
• Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids, Texte imprimé, 9783662202579
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Riassunto:Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.
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Archives Springer e-books (Licence nationale)
ISBN:9783540444428 (PDF)
ISSN:1617-9692
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